The general, duality-invariant family of non-BPS black-hole solutions of N=4, d=4 Supergravity

Lozano-Tellechea, Ernesto; Ortı́n, Tomás

doi:10.1016/s0550-3213(99)00762-2

Cited by 29 publications

(50 citation statements)

References 43 publications

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“…We checked that this black hole reduces in specific subcases to all previously known solutions of the ST U model with 4 independent (combinations of) electromagnetic charges [71,81,84,85,87]. Unlike many other treatments of ST U supergravity, we have emphasized the 4-fold permutation symmetry of the gauge fields in the 3-dimensional coset model, not just the triality symmetry.…”

Section: Conclusion and Further Directionsmentioning

confidence: 97%

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Black holes inN=8supergravity from SO(4,4) hidden symmetries

2014

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We detail the construction of the most general asymptotically flat, stationary, rotating, non-extremal, dyonic black hole of the four-dimensional N = 2 supergravity coupled to 3 vector multiplets that describes the ST U model. It generates through Udualities the most general asymptotically flat, stationary black hole of N = 8 supergravity. We develop the solution generating technique based on SO(4, 4)/SL(2, R) 4 coset model symmetries, with an emphasis on the 4-fold permutation symmetry of the gauge fields. We indicate how previously known non-extremal and extremal solutions of the ST U model are recovered as limiting cases. Several properties of the general black hole solution are discussed, including its thermodynamics, the quadratic mass formula, the Bogomolny-Prasad-Sommerfield limit, the slow and fast extremal rotating limits, its properties in regards to the Kerr/conformal field theory correspondence, its Killing tensors and the separability of geodesic motion and probe scalars.

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Section: Conclusion and Further Directionsmentioning

confidence: 97%

“…If we set the electric and magnetic charges pairwise equal, which is equivalent to (δ 1 , γ 1 ) = (δ 4 , γ 4 ) and (δ 2 , γ 2 ) = (δ 3 , γ 3 ), then we have the dyonic rotating black hole [84] of −iX 0 X 1 supergravity (2.24). The dyonic Kerr-Newman-Taub-NUT is recovered upon setting…”

Section: Four Electric Charges (Cvetič-youm)mentioning

confidence: 99%

Black holes inN=8supergravity from SO(4,4) hidden symmetries

2014

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“…Ref. [11]), the obvious difference being that in four dimensions we dualize 2-form field strengths and in eight dimensions we dualize 4-form field strengths. This duality was first described in Ref.…”

Section: Dimensional Reductionmentioning

confidence: 99%

An multiplet of 8-dimensional type II supergravity theories and the gauged supergravity inside

2001

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The so-called "massive 11-dimensional supergravity" theory gives, for one Killing vector, Romans' massive 10-dimensional supergravity in 10 dimensions, for two Killing vectors an Sl(2, Z) multiplet of massive 9-dimensional supergravity theories that can be obtained by standard generalized dimensional reduction type IIB supergravity and has been shown to contain a gauged supergravity.We consider a straightforward generalization of this theory to three Killing vectors and a 3 × 3 symmetric mass matrix and show that it gives an Sl(3, Z) multiplet of 8-dimensional supergravity theories that contain an SO(3) gauged supergravity which is, in some way, the dual to the one found by Salam and Sezgin by standard generalized dimensional reduction.

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“…[4] proposed that the seed functions H M (τ ) should be linear combinations of hyperbolic functions. The hyperbolic ansatz was known to be valid in the few non-extremal solutions known to the literature [6,7]. Furthermore, the expression of the physical fields in terms of the H M (τ ) was known to remain the same after the gauging of global symmetries [8].…”

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confidence: 99%

The Freudenthal gauge symmetry of the black holes of N = 2, d = 4 supergravity

Galli

Meessen

Ortı́n

2013

J. High Energ. Phys.

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We show that the representation of black-hole solutions in terms of the variables H M which are harmonic functions in the supersymmetric case is non-unique due to the existence of a local symmetry in the effective action. This symmetry is a continuous (and local) generalization of the discrete Freudenthal transformations initially introduced for the blackhole charges and can be used to rewrite the physical fields of a solution in terms of entirely different-looking functions.

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The general, duality-invariant family of non-BPS black-hole solutions of N=4, d=4 Supergravity

Cited by 29 publications

References 43 publications

Black holes inN=8supergravity from SO(4,4) hidden symmetries

Black holes inN=8supergravity from SO(4,4) hidden symmetries

An multiplet of 8-dimensional type II supergravity theories and the gauged supergravity inside

The Freudenthal gauge symmetry of the black holes of N = 2, d = 4 supergravity

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